See attached file for 3 problems: Tesla Motors, PC manufacturer and large insurance company claims

4. Tesla Motors needs to buy axles for their new car. They are considering using Chris Cross Manufacturing as a vendor. Tesla's requirement is that 95% of the axles are 100 cm ± 2 cm. The following data is MegaStat output from a test run from Chris Cross Manufacturing. Should Tesla select them as a vendor? Explain your answer.

Descriptive statistics

count 16
mean 99.938
sample variance 2.313
sample standard deviation 1.521
minimum 97
maximum 102.9
range 5.9

population variance 2.169
population standard deviation 1.473

1st quartile 98.900
median 99.850
3rd quartile 100.475
interquartile range 1.575
mode 98.900

5. A PC manufacturer claims that no more than 5% of their machines are defective. In a random sample of 100 machines, it is found that 8.5% are defective. The manufacturer claims this is a fluke of the sample. At a .02 level of significance, test the manufacture's claim, and explain your answer..

MegaStat Output
Hypothesis test for proportion vs. hypothesized value

Observed Hypothesized
0.085 0.05 p (as decimal)
9/100 5/100 p (as fraction)
8.5 5.0 X
100 100 n

0.0218 std. error
1.61 Z
.0541 p-value (one-tailed, upper)

6. The following table gives the number of claims at a large insurance company by kind and geographical region.
East South
Midwest
West
Totals

Hospitalization
102
98
39
62
301

Physician's Visit
263
514
120
351
1248

Outpatient Treatment
100
226
65
99
490

Totals
465
838
224
512
2039

(A) Referring to the above table, if a bill is chosen at random, what is the probability that it is either from the East or from the West?
(B) Referring to the above table, given that the bill is from the Midwest, what is the probability that it is for a Physician's Visit?

The solution provides step by step method for the calculation of confidence interval, hypothesis testing and probability. Formula for the calculation and Interpretations of the results are also included.

Consider the following HypothesisTesting:
H0: δ1² = δ2²
Ha: δ1² ≠ δ2²
The sample size for sample 1 is 25, and for sample 2 are 21. The variance for sample 1 is 4.0 and for sample 2 is 8.2
a) at the confidence level of 0.98, what is your conclusion of this test?
b) What is the confidence

1. What are the null and alternate hypotheses for this test? Why?
2. What is the critical value for this hypothesis test using a 5% significance level?
3. Calculate the test statistic and the p-value using a 5% significance level.
4. State the decision for this test.
5. Determine the confidenceinterval level that would be a

Assume that in a hypothesis test with null hypothesis = 13.0 at 0.05, that a value of 11.0 for the sample mean results in the null hypothesis not being rejected. That corresponds to a confidenceinterval result of
A. The 95% confidenceinterval for the mean does not contain the value 13.0
B. The 95% confidenceinterval for

What is the relationship between a confidenceinterval and a single sample, two-tailed hypothesis test?
How are they the same? How are they different?
Review the definition of a single sample, two tailed test. Now review the structure of a confidenceinterval.
What are the assumptions and requirements for the use

Need help setting up, understanding and solving this problem:
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether

Please explain the difference between confidenceinterval and significance level and how they interact or "influence" each other.
Could you please give me a clear explanation with a simple example of these concepts.

Use the traditional method to test the given hypothesis. Assume that the samples are independent and that they have been randomly selected
11) In a random sample of 500 people aged 20 24, 22% were smokers. In a random sample of 450 people aged 25 29, 14% were smokers. Test the claim that the proportion of smokers inthe two age

A. *HT* A test was conducted to compare the wearing quality of the tires produced by two tire companies. A random sample of 16 cars is equipped with one tire of Brand X and one tire of Brand Y (the other two tires on each car are not part of the test), and driven for 30 days. The following table gives the amount of wear in thous